A
stringlengths 4
41
| B
stringlengths 4
41
| E
int64 0
1
| H1
int64 0
1
| H2
int64 0
1
| H3
int64 0
1
| label
stringclasses 2
values |
|---|---|---|---|---|---|---|
~(((c&c)|c))
|
(c&((c>(c&~(c)))>c))
| 0 | 0 | 1 | 0 |
not entailment
|
~((c|c))
|
~(((c|c)|(c&c)))
| 1 | 0 | 1 | 1 |
entailment
|
(c|c)
|
((~(c)>c)&((c&c)&c))
| 1 | 0 | 1 | 1 |
entailment
|
~((c|c))
|
((~(c)>c)&((c&c)&c))
| 0 | 0 | 1 | 0 |
not entailment
|
(c|c)
|
~(((c|c)|(c&c)))
| 0 | 0 | 1 | 0 |
not entailment
|
~((((c>c)>c)|((c&~(c))|~((c>c)))))
|
~((c|c))
| 1 | 1 | 1 | 1 |
entailment
|
~(((c|c)>(~(c)&c)))
|
((c&c)|c)
| 1 | 1 | 1 | 1 |
entailment
|
~((((c>c)>c)|((c&~(c))|~((c>c)))))
|
((c&c)|c)
| 0 | 1 | 1 | 1 |
not entailment
|
~(((c|c)>(~(c)&c)))
|
~((c|c))
| 0 | 1 | 1 | 1 |
not entailment
|
~(~(~(c)))
|
~((((c>c)|c)>c))
| 1 | 0 | 1 | 0 |
entailment
|
(c|(c&c))
|
((((c>c)>c)|~(c))&(c&(c|c)))
| 1 | 0 | 1 | 0 |
entailment
|
~(~(~(c)))
|
((((c>c)>c)|~(c))&(c&(c|c)))
| 0 | 0 | 1 | 0 |
not entailment
|
(c|(c&c))
|
~((((c>c)|c)>c))
| 0 | 0 | 1 | 0 |
not entailment
|
(~(c)&(c>(c|(c>c))))
|
~((c|(c|c)))
| 1 | 1 | 1 | 1 |
entailment
|
(c&((~(c)>c)|~(~((((c>c)|c)&~(c))))))
|
(~((c|(c|c)))>(c|((c|c)|c)))
| 1 | 1 | 1 | 1 |
entailment
|
(~(c)&(c>(c|(c>c))))
|
(~((c|(c|c)))>(c|((c|c)|c)))
| 0 | 0 | 1 | 1 |
not entailment
|
(c&((~(c)>c)|~(~((((c>c)|c)&~(c))))))
|
~((c|(c|c)))
| 0 | 1 | 1 | 1 |
not entailment
|
(~(i)&b)
|
~(~(~(~(b))))
| 1 | 0 | 1 | 1 |
entailment
|
(~((b&e))&(~((y&(e|y)))&(d>(y>i))))
|
(~((y>(r&(p|b))))>~((b&(~(l)&y))))
| 1 | 1 | 0 | 0 |
entailment
|
(~(i)&b)
|
(~((y>(r&(p|b))))>~((b&(~(l)&y))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((b&e))&(~((y&(e|y)))&(d>(y>i))))
|
~(~(~(~(b))))
| 0 | 1 | 1 | 0 |
not entailment
|
~((b>(~(i)>l)))
|
(y|((~(e)>e)|~((l&k))))
| 1 | 0 | 0 | 0 |
entailment
|
((r>p)>(k&r))
|
((((b|l)|(~(r)|e))>(l|r))|(y|(e&l)))
| 1 | 0 | 0 | 0 |
entailment
|
~((b>(~(i)>l)))
|
((((b|l)|(~(r)|e))>(l|r))|(y|(e&l)))
| 0 | 0 | 0 | 0 |
not entailment
|
((r>p)>(k&r))
|
(y|((~(e)>e)|~((l&k))))
| 0 | 0 | 0 | 0 |
not entailment
|
(~((r|l))&k)
|
(r>~(~((l|i))))
| 1 | 0 | 0 | 0 |
entailment
|
(((e|b)&(e&(k&b)))&(i>k))
|
(y|(~(((i>((d|(e|d))>b))|l))>b))
| 1 | 0 | 0 | 0 |
entailment
|
(~((r|l))&k)
|
(y|(~(((i>((d|(e|d))>b))|l))>b))
| 0 | 0 | 0 | 0 |
not entailment
|
(((e|b)&(e&(k&b)))&(i>k))
|
(r>~(~((l|i))))
| 0 | 1 | 0 | 0 |
not entailment
|
((r|~(((i>i)|(~(l)>b))))&(~(~(l))>e))
|
(l>e)
| 1 | 1 | 1 | 1 |
entailment
|
(~((b&y))&b)
|
(b|~((d|~(~(~(l))))))
| 1 | 0 | 0 | 0 |
entailment
|
((r|~(((i>i)|(~(l)>b))))&(~(~(l))>e))
|
(b|~((d|~(~(~(l))))))
| 0 | 1 | 0 | 0 |
not entailment
|
(~((b&y))&b)
|
(l>e)
| 0 | 1 | 0 | 0 |
not entailment
|
~((l|(~(r)|(b|((((k&y)|r)&y)>~(r))))))
|
(((((~(e)|b)|(y&(k>i)))>b)|~((r|i)))>y)
| 1 | 1 | 0 | 0 |
entailment
|
(k&~((l>((l>d)|p))))
|
(l&l)
| 1 | 1 | 1 | 1 |
entailment
|
~((l|(~(r)|(b|((((k&y)|r)&y)>~(r))))))
|
(l&l)
| 0 | 1 | 1 | 0 |
not entailment
|
(k&~((l>((l>d)|p))))
|
(((((~(e)|b)|(y&(k>i)))>b)|~((r|i)))>y)
| 0 | 0 | 0 | 0 |
not entailment
|
(y&((i>(y>~((l&i))))&(r&b)))
|
(y|(((~(b)>y)>((r&k)|e))&~(b)))
| 1 | 0 | 0 | 0 |
entailment
|
(l&r)
|
((~(e)>(l|(k|i)))|e)
| 1 | 0 | 0 | 0 |
entailment
|
(y&((i>(y>~((l&i))))&(r&b)))
|
((~(e)>(l|(k|i)))|e)
| 0 | 1 | 0 | 0 |
not entailment
|
(l&r)
|
(y|(((~(b)>y)>((r&k)|e))&~(b)))
| 0 | 0 | 0 | 0 |
not entailment
|
(((r|(p&r))&(((r>y)>e)>p))&i)
|
((~((d|p))|(r|r))>r)
| 1 | 1 | 0 | 0 |
entailment
|
(b&(y&e))
|
(~(((y&e)&l))>(b|(p>y)))
| 1 | 0 | 0 | 0 |
entailment
|
(((r|(p&r))&(((r>y)>e)>p))&i)
|
(~(((y&e)&l))>(b|(p>y)))
| 0 | 1 | 0 | 0 |
not entailment
|
(b&(y&e))
|
((~((d|p))|(r|r))>r)
| 0 | 0 | 0 | 0 |
not entailment
|
((~(e)|(r>e))>(r&(l|p)))
|
(((~((l|p))&y)|(y&b))|(~(p)|r))
| 1 | 0 | 0 | 0 |
entailment
|
(d&(p|e))
|
((~(i)|(i>i))&(d|(~(l)>k)))
| 1 | 0 | 0 | 0 |
entailment
|
((~(e)|(r>e))>(r&(l|p)))
|
((~(i)|(i>i))&(d|(~(l)>k)))
| 0 | 0 | 0 | 0 |
not entailment
|
(d&(p|e))
|
(((~((l|p))&y)|(y&b))|(~(p)|r))
| 0 | 0 | 0 | 0 |
not entailment
|
((p|d)&(i&~(r)))
|
(~((~((~(~(p))|~(p)))|r))|p)
| 1 | 0 | 1 | 0 |
entailment
|
(((k&((l>e)&(b|i)))|y)&(((y|r)>i)&r))
|
(l>r)
| 1 | 1 | 1 | 1 |
entailment
|
((p|d)&(i&~(r)))
|
(l>r)
| 0 | 1 | 0 | 0 |
not entailment
|
(((k&((l>e)&(b|i)))|y)&(((y|r)>i)&r))
|
(~((~((~(~(p))|~(p)))|r))|p)
| 0 | 1 | 0 | 0 |
not entailment
|
(d&e)
|
(b>(e|l))
| 1 | 0 | 0 | 0 |
entailment
|
~((p|(d|~(((r|~(~(k)))|(l&~(k)))))))
|
(l|~((~(~(p))&(~(y)>(p&b)))))
| 1 | 1 | 0 | 0 |
entailment
|
(d&e)
|
(l|~((~(~(p))&(~(y)>(p&b)))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((p|(d|~(((r|~(~(k)))|(l&~(k)))))))
|
(b>(e|l))
| 0 | 1 | 0 | 0 |
not entailment
|
~((k>(p|b)))
|
(((r|~((b>r)))&(e>y))>((y|l)>(p>r)))
| 1 | 0 | 0 | 0 |
entailment
|
(b|~(~(d)))
|
((b|i)|d)
| 1 | 1 | 0 | 0 |
entailment
|
~((k>(p|b)))
|
((b|i)|d)
| 0 | 1 | 0 | 0 |
not entailment
|
(b|~(~(d)))
|
(((r|~((b>r)))&(e>y))>((y|l)>(p>r)))
| 0 | 0 | 0 | 0 |
not entailment
|
~((((y>(e&l))>(b|(l|b)))|l))
|
(y>(y&k))
| 1 | 1 | 0 | 0 |
entailment
|
(y&(((k&b)>k)&e))
|
(((k&(d>r))&~(r))|(y|~((k&~(~(e))))))
| 1 | 0 | 0 | 0 |
entailment
|
~((((y>(e&l))>(b|(l|b)))|l))
|
(((k&(d>r))&~(r))|(y|~((k&~(~(e))))))
| 0 | 0 | 0 | 0 |
not entailment
|
(y&(((k&b)>k)&e))
|
(y>(y&k))
| 0 | 1 | 1 | 0 |
not entailment
|
~(((l&e)>~((y>~(l)))))
|
((d|(((k&r)&d)>d))>(((e&d)>l)|(y&d)))
| 1 | 0 | 0 | 0 |
entailment
|
((l|r)>~(e))
|
(b>((e>~(l))|~((r&(((y|k)|p)|(r>k))))))
| 1 | 0 | 0 | 0 |
entailment
|
~(((l&e)>~((y>~(l)))))
|
(b>((e>~(l))|~((r&(((y|k)|p)|(r>k))))))
| 0 | 0 | 0 | 0 |
not entailment
|
((l|r)>~(e))
|
((d|(((k&r)&d)>d))>(((e&d)>l)|(y&d)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((~(d)&b)>k))
|
(~(~(d))>p)
| 1 | 1 | 0 | 0 |
entailment
|
(((d&l)&(~(l)&r))|((r&(((b|i)|d)&k))&r))
|
(p|(y|r))
| 1 | 1 | 0 | 0 |
entailment
|
~(((~(d)&b)>k))
|
(p|(y|r))
| 0 | 1 | 0 | 0 |
not entailment
|
(((d&l)&(~(l)&r))|((r&(((b|i)|d)&k))&r))
|
(~(~(d))>p)
| 0 | 1 | 0 | 0 |
not entailment
|
~((((l|(d|d))|~(y))|~((r>((p&k)>r)))))
|
((~(l)|(p&p))|p)
| 1 | 1 | 1 | 0 |
entailment
|
((l&d)&~((b&p)))
|
(l&l)
| 1 | 1 | 1 | 1 |
entailment
|
~((((l|(d|d))|~(y))|~((r>((p&k)>r)))))
|
(l&l)
| 0 | 1 | 1 | 0 |
not entailment
|
((l&d)&~((b&p)))
|
((~(l)|(p&p))|p)
| 0 | 1 | 1 | 0 |
not entailment
|
((d&b)>~(~(~((k>r)))))
|
(~(r)|((p&(d&b))>(k|(i&(r|r)))))
| 1 | 0 | 0 | 0 |
entailment
|
((d>b)&b)
|
(~(~(e))|b)
| 1 | 0 | 0 | 0 |
entailment
|
((d&b)>~(~(~((k>r)))))
|
(~(~(e))|b)
| 0 | 1 | 0 | 0 |
not entailment
|
((d>b)&b)
|
(~(r)|((p&(d&b))>(k|(i&(r|r)))))
| 0 | 0 | 0 | 0 |
not entailment
|
~((y>((y>b)&r)))
|
((y|e)|(d|(i|d)))
| 1 | 1 | 0 | 0 |
entailment
|
~(~((l&(b|p))))
|
(((e|i)&k)|((r|b)>l))
| 1 | 0 | 0 | 0 |
entailment
|
~((y>((y>b)&r)))
|
(((e|i)&k)|((r|b)>l))
| 0 | 0 | 0 | 0 |
not entailment
|
~(~((l&(b|p))))
|
((y|e)|(d|(i|d)))
| 0 | 1 | 0 | 0 |
not entailment
|
((~(~(d))&k)|i)
|
((d>(d&e))>((l|i)|k))
| 1 | 0 | 0 | 0 |
entailment
|
~(((~(e)>(i&(l&~(d))))>((r|(y&b))>p)))
|
(p>b)
| 1 | 1 | 1 | 1 |
entailment
|
((~(~(d))&k)|i)
|
(p>b)
| 0 | 1 | 0 | 0 |
not entailment
|
~(((~(e)>(i&(l&~(d))))>((r|(y&b))>p)))
|
((d>(d&e))>((l|i)|k))
| 0 | 1 | 0 | 0 |
not entailment
|
(y&e)
|
((((~(f)|l)>w)&~(e))>~((i|o)))
| 1 | 0 | 0 | 0 |
entailment
|
~(~(~(((i>r)|w))))
|
~(r)
| 1 | 1 | 1 | 1 |
entailment
|
(y&e)
|
~(r)
| 0 | 1 | 0 | 0 |
not entailment
|
~(~(~(((i>r)|w))))
|
((((~(f)|l)>w)&~(e))>~((i|o)))
| 0 | 0 | 0 | 0 |
not entailment
|
~(((o&~(((~(e)&t)>g)))>((l>r)|(l>r))))
|
((w|i)>(~(~(l))|e))
| 1 | 1 | 0 | 0 |
entailment
|
((g|((g|w)>~((f|(r&i)))))&r)
|
(y|((e|(~(r)>i))|((i|w)&~(((y>e)|i)))))
| 1 | 0 | 0 | 0 |
entailment
|
~(((o&~(((~(e)&t)>g)))>((l>r)|(l>r))))
|
(y|((e|(~(r)>i))|((i|w)&~(((y>e)|i)))))
| 0 | 1 | 0 | 0 |
not entailment
|
((g|((g|w)>~((f|(r&i)))))&r)
|
((w|i)>(~(~(l))|e))
| 0 | 1 | 0 | 0 |
not entailment
|
~(((i>~(w))>((g&(e&t))>w)))
|
((~((l|w))>o)|(r>e))
| 1 | 1 | 0 | 0 |
entailment
|
(~((f&i))&y)
|
(~(~(r))>(y|~(f)))
| 1 | 0 | 0 | 0 |
entailment
|
~(((i>~(w))>((g&(e&t))>w)))
|
(~(~(r))>(y|~(f)))
| 0 | 1 | 0 | 0 |
not entailment
|
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